How many moles of dipyrithione (C10H8N2O2S2) contain 8.2 x 10^24 atoms of N2?

Avogadro's number represents the number of units in one mole of any substance. This has the value of 6.022 x 10^23 units / mole. This number can be used to convert the number of atoms or molecules into number of moles. We calculate as follows:

8.2 x 10^24 atoms of N2 ( 1 mol N2/ 6.022 x 10^23 atoms ) ( 1 mol C10H8N2O2S2 / 1 mol N2 ) = 13.28 mol C10H8N2O2S2

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Alleei Alleei · Answer 2 · 2019-11-28T07:57:25+01:00

Answer : The number of moles of dipyrithione are [tex]1.4\times 10^1[/tex] moles.

Explanation :

The given molecule is, [tex]C_{10}H_8N_2O_2S_2[/tex]

In this molecule, there are 10 atoms of carbon, 8 atoms of hydrogen, 2 atoms of nitrogen, 2 atoms of oxygen and 2 atoms of sulfur.

As we know that, 1 mole of substance contains [tex]6.022\times 10^{23}[/tex] number of atoms.

As, [tex]6.022\times 10^{23}[/tex] atoms of [tex]N_2[/tex] present in 1 mole of [tex]C_{10}H_8N_2O_2S_2[/tex]

So, [tex]8.2\times 10^{24}[/tex] atoms of [tex]N_2[/tex] present in [tex]\frac{8.2\times 10^{24}}{6.022\times 10^{23}}=13.6\approx 1.4\times 10^1[/tex] mole of [tex]C_{10}H_8N_2O_2S_2[/tex]

Therefore, the number of moles of dipyrithione are [tex]1.4\times 10^1[/tex] moles.